Journal ArticleDOI
Reachability, observability and strict equivalence of networks of linear systems
Paul A. Fuhrmann,Uwe Helmke +1 more
Reads0
Chats0
TLDR
This paper survey and extend known characterizations for reachability and observability for arbitrary interconnected linear MIMO systems, based on extending the classical notion of strict system equivalence to networks of linear systems.Abstract:
This paper aims at a better understanding of reachability and observability properties of heterogeneous networks of linear systems. It extends prior work by Hara et al. (SICE J Control Meas Syst Integr 2:299–306, 2009), who characterized reachability for homogeneous networks of identical linear SISO systems. Our approach is based on extending the classical notion of strict system equivalence to networks of linear systems. We survey and extend known characterizations for reachability and observability for arbitrary interconnected linear MIMO systems. Both static and dynamic interconnection laws are considered, and various applications to classes of homogeneous and heterogeneous networks are derived.read more
Citations
More filters
Journal ArticleDOI
Uniform ensemble controllability for one-parameter families of time-invariant linear systems
Uwe Helmke,Michael Schönlein +1 more
TL;DR: Using tools from complex approximation theory, the existence of parameter-independent open-loop controls that steer the zero initial state of an ensemble of linear systems uniformly to a prescribed family of terminal states is proved.
Journal ArticleDOI
Controllability of ensembles of linear dynamical systems
Michael Schönlein,Uwe Helmke +1 more
TL;DR: It is shown that ensemble controllability holds only for systems with at most two independent parameters, and the question of open-loop robust synchronization is addressed.
Posted Content
Controllability of ensembles of linear dynamical systems
Michael Schönlein,Uwe Helmke +1 more
TL;DR: In this paper, the authors investigate the task of controlling ensembles of initial and terminal state vectors of parameter-dependent linear systems by applying parameter-independent open loop controls and establish necessary and sufficient conditions for ensemble controllability using tools from complex approximation theory.
Posted Content
Zeros of Networked Systems with Time-invariant Interconnections
TL;DR: For homogeneous networks with time-invariant interconnection dynamics, it is illustrated how the zeros of each individual agent's system description and zeros definable from the inter connection dynamics contribute to generating zerosOf the whole network.
Journal ArticleDOI
Sensing and control in symmetric networks
Michael Dellnitz,Stefan Klus +1 more
TL;DR: This paper will analyze the relationship between the controllability and observability of complex networked systems and symmetries using results from group representation theory, and proposes an algorithm to compute sparse input and output matrices based on projections onto corresponding isotypic components.
References
More filters
Journal ArticleDOI
Distributed control of spatially invariant systems
TL;DR: It is shown that optimal controllers have an inherent degree of decentralization, and this provides a practical distributed controller architecture and a general result that applies to partially distributed control and a variety of performance criteria is proved.
Journal ArticleDOI
Control of inhomogeneous quantum ensembles
Jr-Shin Li,Navin Khaneja +1 more
TL;DR: In this paper, the authors highlight the role of Lie algebras and noncommutativity in the design of a compensating pulse sequence and investigate three common dispersions in NMR spectroscopy, namely the Larmor dispersion, rf inhomogeneity and strength of couplings between the spins.